the area of a trapezium is 14.7cmsquare. if the parallel sides are 5.3cm and 3.1cm long,find the perpendicular distance between them

Step-by-step explanation:

p² - 4p is subtracted from p² + p - 6 is written as

p² + p - 6 - (p² - 4p)

Remove the bracket and simplify

That's

p² + p - 6 - p² + 4p

p² - p² + 4p + p - 6

We have the answer as

Let the unknown expression be x

Subtract x from the expression to get p - 9

That's

5p - 6 - x = p - 9

x = 5p - p - 6 + 9

x = 4p + 3

The expression is

Hope this helps you

Answer:

$106.75

Step-by-step explanation:

Since the cost of a gallon of oil cost $3.05, we are going to have the equation y = 3.05x, where x represents the number of gallons of oil.

Since the Changs have 35 gallons of oil, the equation would be;

3.05(35) = 106.75

The Changs paid $106.75 for the delivery.

Answer:

(i) x = 67/4

(ii) x = 2/3

Step-by-step explanation:

(i)

5x + 3/4 - 2x - 4/3 = 5 add like terms

3x -7/12 = 5

3x = 5 + 7/12 ➡ 3x = 67/12 and x = 67/4

(ii)

3(x+5) - 2(3x-1) = 15 ➡ 3x + 15 - 6x + 2 = 15 add like terms

17 - 3x = 15

2 = 3x and x = 2/3

Answer:

A: population

Step-by-step explanation:

Um its just the definition of the word i think.

Population: a collection of persons, things, or objects under study.

Answer:

0.6

Step-by-step explanation:

0.6-0.45=0.15

The value of y from the given equation is 0.60.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 0.15=y-0.45.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 0.15=y-0.45

y=0.15+0.45

y=0.60

Therefore, the value of y is 0.60.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

[tex]\Large \boxed{\mathrm{Option \ D}}[/tex]

Step-by-step explanation:

(6, 4)

x = 6 and y = 4

y > -1/2x + 7

Plug in the values to check if it is true.

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

This statement is false.

(6, 4) lies on the line.

Answer:

3. 0

4. n = -2

Step-by-step explanation:

I haven't taken pre-calc but this looks a lot like algebra.

For #3, just plug in -2 for the x values, so:

x^2 + 4x +4

(-2)^2 + 4(-2) + 4

= 4 - 8 + 4

= 0

For #4, move the variables to one side and solve( im not sure what the pi is for tho, or is that a n?):

5n + 6 = -3n - 10

add 3n to both sides

8n + 6 = -10

subtract 6 from both sides

8n = -16

divide both sides by 8

n = -2

Answer:

24√3

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

Step 1: Use cos∅

cos30° = LM/48

Step 2: Multiply both sides by 48

48cos30° = LM

Step 3: Evaluate

LM = 24√3

Answer:

[tex]\large \boxed{24 \sqrt{3} }[/tex]

Step-by-step explanation:

The triangles are right triangles. We can use trig functions to solve.

cos θ  = adj/hyp

Take the triangle KLM.

cos 30 = LM/KL

cos 30 = LM/48

Multipy both sides by 48

(48) cos 30 = LM/48 (48)

Simplify.

48 cos30 = LM

24√3 = LM

Answer:

C. (3, 3)

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

This is made slightly more difficult by the fact that the given polynomials are not in order of decreasing powers of x. So, you need to be careful what you're adding, to make sure the terms are "like".

__

Add: (-2x² +3x +4) +(x² -4x -5) = (-2+1)x² +(3-4)x +(4-5) = -x² -x -1

Opp: -(3x² -x +1) = 3x² +x -1

Sub: (x² +3x -4) -(-2x² +4x -3) = (1-(-2))x² +(3-4)x +(-4-(-3)) = 3x² -x -1

Answer:

I am odd number my digits add up to 7 i am bigger than 50 and smaller 100

Answer:

x = ±4

Step-by-step explanation:

4x^2 = 64

Divide each by 4

4x^2 /4= 64/4

x^2 = 16

Take the square root of each side

sqrt(x^2) = ±sqrt(16)

x = ±4

Answer:

[tex]\boxed{\boxed{x=\pm 4}}[/tex]

Step-by-step explanation:

[tex]4x^2 = 64[/tex]

Divide both sides by 4.

[tex](4x^2)/4 = 64/4[/tex]

Simplify.

[tex]x^2 =16[/tex]

Take the square root on both sides.

[tex]\sqrt{x^2 } =\pm \sqrt{16}[/tex]

Simplify.

[tex]x=\pm 4[/tex]

Answer:

That the fractions are reduced with all common factors canceled.

Step-by-step explanation:

Hello,

Before an algebraic fraction is selected I should that the fractions are reduced with all common factors cancelled so that I got the irreducible fraction.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

D. 2,-1

Step-by-step explanation:

When a line is reflected by y=x, the x and y switch.

Answer:

The answer is

Step-by-step explanation:

From the question difference in the statement means subtraction

So the statement

two times the difference of eight and d is written as

Hope this helps you

Answer:

the answer is 2( 8 - d) I  got the same answer and got it right

Step-by-step explanation:

Answer:

1. 1/12x

2.1/6x

3. 18

Step-by-step explanation:

Let

x=number of crackers in the box

On Monday, Alexander are 1/2 of the crackers

1/2 of x

=1/2x

Remaining

x-1/2x=2x-1/2

=1/2x

Tuesday=1/2 of what was left

=1/2 of 1/2x

=1/2×1/2x

=1/4x

Remaining

1/2x-1/4x

=2x-x/4

=1/4x

Wednesday=1/3 of what was left

=1/3 of 1/4x

=1/12x

Remaining

1/4x-1/12x

=3x-x/12

=2/12x

=1/6x

1. What fractional part of the total crackers originally in the box did Alexander eat on Wednesday?

1/12x

2. what fractional part of the total crackers originally in the box are left.

1/6x

3. if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened.

1/6x=3

Divide both sides by 1/6

1/6x ÷ 1/6 = 3 ÷ 1/6

x=3÷1/6

=3 × 6/1

=18

x=18

Answer:

1) 1/12

2) 1/6

3) 18

Step-by-step explanation:

Answer:

$7.5

Step-by-step explanation:

Let

Quantity of stickers=x

Price of stickers=y

5 stickers cost $3

12 stickers cost $y

x/y = x/y

5/3 = 12/y

Cross product

5y=12*3

5y=36

Divide both sides by 5

5y/5 = 36/5

y=7.5

12 stickers= $7.5

Therefore, the price of 12 stickers= $7.5

Answer:

w = 23

l = 28

Step-by-step explanation:

w = width

l = w+5

P = 2 (l+w)

102 = 2( w+5+w)

102 = 2(2w+5)

Divide each side by 2

51 = 2w+5

Subtract 5

46 = 2w

Divide by 2

23 = w

The width is 23 and the length is 23+5 = 28

Answer:

Length=28

Width=23

Step-by-step explanation:

All I did was basically trial and error, to be honest.

Answer:

The third option is the correct answer

Step-by-step explanation:

I am a 100% sure.

Hope this helps....

Have a nice day!!!!

Answer:

4 to 3

Step-by-step explanation:

The ratio of salt to pepper is

2/3 to 1/2

Multiply both fractions by 6

6 * 2/3 to 6 * 1/2

4 to 3

The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). then valid UPC would be option B) 3-25866-53590-0 by checking the check digit.

It is known that a UPC is made up of 6 to 9 digits from the left that is the manufacturer id number and 5 digits from the right before the last digit is the product id number.

A UPC can be validated with a manual calculation:

Given :

UPC = 3-25866-53590-5/0

=> Step 1: Add the digits at odd positions.

3 + 5 + 6 +5 + 5 + 0 = 24

=> Step 2: Multiply the number obtained in steps 1 by 3.

24*3 = 72

=> Step 3: The digits at even positions have to be added except check digit

2 + 8 + 6 +3 +9 = 28

=> Step 4: Add the numbers obtained in Step 2 and step 3.

72+ 28 = 100

=> Step 5: The number obtained in step 4 is subtracted from the next multiple of 10.

Here 100 will be subtracted from 110.

110 - 100 = 10

the last digit will be 0,

Thus, the correct option is B. 3-25866-53590-0.

Learn more about:

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Well the two equations are in y=mx+b form, also known as slope-intercept form.

The slope for the first equation is 5/6. The slope for the second is -4/3. Its very simple. We say that x is 0 for example...

When X = 0...

First equation: Y=7

Second Equation: Y=-6

On the graph you plot (x,y) (0,7) on the graph. so on the Y axis, put a dot at 7. This is for the first equation. We can say x is 6 also, and then the answer is -1.

So the second point is (6,-1).

FIRST EQUATION ONLY: Plot (0,7), (6,-1)

For the second I wont be elaborate as much but its (0,-6), (3,-10)

Brainiest/Heart if helpful!

Answer:

(-6, 2)

Step-by-step explanation:

When you graph [tex]y=\frac{5}{6} x+7[/tex], you get the red line.

When you graph [tex]y=-\frac{4}{3} x-6[/tex], you get the blue line.

The answer is the point they intersect, or cross. That would be (-6, 2).

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

an obtuse angle is an angle that is more than 90 degrees

Step-by-step explanation:

Answer:

  B)  (-2, 5)

Step-by-step explanation:

Perhaps easiest is to try the points to see what works. You can also graph the equations or solve by any of several other means.

Trying the points

  A) 3(-2)+4(-2) = -6 -8 = -14 ≠ 14

  B) 3(-2) +4(5) = -6 +20 = 14; -2 = 2(5) -12 = 10 -12 . . . . true

  C) 3(-4) +4(4) = -12 +16 = 4 ≠ 14

  D) 3(2) +4(2) = 6 +8 = 14; 2(2) -12 = -8 ≠ -2

__

Choice B ( -2, 5) is the only point that works in both equations.

Answer:

x = -2

y = 5

then:

B) (-2,5)

Step-by-step explanation:

3x + 4y = 14

x = 2y - 12

from te firs equation:

3x = 14 - 4y

x = (14-4y)/3

then:

2y - 12 = (14-4y)/3

3(2y-12) = 14 - 4y

3*2y + 3*-12 = 14 - 4y

6y - 36 = -4y + 14

6y + 4y = 14 + 36

10y = 50

y = 50/10

y = 5

from the second equation:

x = 2y - 12

x = 2*5 - 12

x = 10 - 12

x = -2

Check:

from the first equatión:

3x + 4y = 14

3*-2 + 4*5 = 14

-6 + 20 = 14

Answer:

option 2.

Step-by-step explanation:

You use the y-intercept form: y=mx+b

mx=slope, and b=y-intercept.

Looking at this graph, you can see that the slope is -2/3 (rise over run), and the line is negative, so the slope becomes negative.

So now, we can see the only option having the slop -2/3x is option 2.

Answer:

this is your test right pls study and answer

Answer: [tex]y=\dfrac12 x[/tex] .

Step-by-step explanation:

We know that [tex]a f (x)[/tex]  compresses f(x) vertically such that

If we vertically compress the linear parent function, F(x) = x, by multiplying by [tex]\dfrac12[/tex].

Then, the equation of the new function is [tex]y=\dfrac12 F(x)=\dfrac12 x[/tex] .

i.e. [tex]y=\dfrac12 x[/tex] .

Answer:

√(3x)-2y+7

here √(3x) means, √3×√x

√x = x^(1/2)

now, now the exponent is 1/2, which means it's not a polynomial

Answer:

Option B is the right answer.

Step-by-step explanation:

x ^2 -7x+12 = (x-4)(x-3)

so, if we put x=3 or 4 than it will be undefined. hope u understand.

Answer:

All registered voters in Cleveland and the maximum percentage increase in taxes